Asked by Desiree LeBoeuf on Jun 09, 2024
Verified
The ______ the sample, the less confidence a research has that the sample mean estimates the unknown population mean μ, and the ______ the confidence interval around the sample mean.
A) larger; smaller
B) larger; larger
C) smaller; larger
D) smaller; smaller
Confidence Interval
A series of values, extracted from data samples, that is presumed to include the value of a not yet identified population attribute.
- Grasp the connection between the number of samples, their standard error, and the measurement of confidence interval widths.
- Apply knowledge of confidence intervals to determine the impact of sample size on the precision of mean estimates.
Verified Answer
Q?
Quyên ?oànJun 13, 2024
Final Answer :
C
Explanation :
A smaller sample size means there is less confidence that the sample mean accurately estimates the population mean, leading to a larger confidence interval to account for the increased uncertainty.
Learning Objectives
- Grasp the connection between the number of samples, their standard error, and the measurement of confidence interval widths.
- Apply knowledge of confidence intervals to determine the impact of sample size on the precision of mean estimates.
Related questions
When a Sample Size Is Decreased, the Confidence Interval for ...
What Is the Relationship Between the Size of a Sample ...
An Economist Is Interested in Studying the Spending Habits of ...
The Width of the Confidence Interval Estimate for the Predicted ...
A Sample of 36 Patients in a Doctor's Office Showed ...